A disk of mass m and moment of inertia of I is spinning freely at 6.00 rad/s when a second identical disk, initially not spinning, is dropped onto it so that their axes coincide. In a short time, the two disks are corotating. What is the angular speed of the new system

The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 then, Mass of A = 8m/5 kg.

Let the mass of the body A be ‘m’.

The two strings are taut so they exert a tension ‘T’ on body A.

Let ‘a’ be the acceleration produced in the system.

The free body diagram of body A is given below: mA + 2T = mA + ma = mA + m(2)mA + 10T = mA + ma = mA + m(2)

As the two strings are taut, we can say that tension in both strings is equal.

Therefore 2T = 10T or T = 5T As the body A is resting on a smooth horizontal table, there is no friction force acting on the body A.

The net force acting on body A is the force due to tension in the strings. ma = 2T – mg …(1)

As per the given problem, the system is released from rest.

Hence the initial velocity is zero.

Also, we are given that the system accelerates at 2 m/s2.

Therefore a = 2 m/s2 …(2)

From the equations (1) and (2), we get, m(2) = 2T – mg …(3)⇒ m(2) = 2×5m – mg⇒ 2m = 10m – g⇒ g = 8m/5

Thus, the mass of A is 8m/5 kg.

Answer: Mass of A = 8m/5 kg.

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The equivalent temperature in Celsius scale is (86°F − 32) × 5/9 = 30°C

Take the °F temperature and subtract 32

Multiply this number by 5.

Divide this number by 9 to obtain your answer in °C.

The formula to convert °F to °C is:

T(°C) = (T(°F) - 32) × 5/9

converting 86 degrees Fahrenheit into degrees Celsius:

T(°C) = (86°F - 32) × 5/9

T(°C) = 30 °C

(86°F − 32) × 5/9 = 30°C

When doing the temperature conversion, one quick way to make certain you did the conversion right is to remember Fahrenheit temperatures are higher than the corresponding Celsius scale until you get down to -40°, which is where the Celsius and Fahrenheit scales meet. Below this temperature, degrees Fahrenheit are lower than degrees Celsius.

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Answer:

B.) They affect the reproductive cells.

The volume of the gas is calculated as 1827.87cm^3

Data;

To find the final volume of oxygen, we have to use Boyle's law which states that the volume of a gas is inversely proportional to the pressure of the gas provided that temperature remains constant.

v ∝ 1/p

\(v = \frac{k}{p} \\k = pv\\p_1 v_1 = p_2 v_2\)

Let's substitute the values into the equation and solve.

\(p_1v_1 = p_2v_2\\101325*300 = 16630 * v_2\\30397500 = 16630v_2\\v_2 = \frac{30397500}{16630} \\v_2 = 1827.87cm^3\)

The volume of the gas is calculated as 1827.87cm^3

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Answer: so it can reach the frame

Explanation:

Answer:

To increase force on the door

Answer:  Temperature in Fahrenheit is 577.4

Explanation:

The conversion factor for converting celcius to Fahrenheit is:

\(F=\frac{9}{5}\times C+32\)

where F = temperature in Fahrenheit

C = Temperature in Celcius

Given : Temperature difference in Celcius = \(303^0C\)

Putting in the values we get:

\(F=\frac{9}{5}\times 303+32\)

\(F=577.4\)

Thus the answer in Fahrenheit is 577.4

The required conversion of temperature from Celsius to Fahrenheit is 577.4 Degree Fahrenheit.

Given data:

The temperature difference between the inside and outside of a typical cryogenic pump is, \(\Delta T=303^{\circ}\rm C\).

The degree measure of the flow of heat from one point to another is known as the temperature at a specific point. The temperature measurements are done in Celsius, Fahrenheit and Kelvin scales. The expression to convert the Celsius scale to Fahrenheit scale is,

\(T=(C \times \dfrac{9}{5} + 32)\;\rm ^{\circ}F\)

Solving as,

\(T=(303 \times \dfrac{9}{5}+32 )\;\rm ^{\circ}F\\\\T=(303 \times \dfrac{9}{5}+32 )\;\rm ^{\circ}F\\\\T=577.4\;\rm ^{\circ}F\)

Thus, we can conclude that the required conversion of temperature from Celsius to Fahrenheit is 577.4 Degree Fahrenheit.

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Answer:

the stone hits the gound with a speed of  20.7 m/s

Explanation:

Becuase gravity is constant we know that the initial upward velocity will be equal to the downward velocity when the stone has returned to its intal location.

The magnitude of the power dissipated in resistor R4 is approximately 10,028 watts.

To find the power dissipated in resistor R4, use the formula:

P = I² × R

where P = power, I = current flowing through the resistor, and R = resistance of the resistor.

The total resistance, Rt, can be calculated using the formula:

1/Rt = 1/R1 + 1/R2 + 1/R3

Substituting the given values:

1/Rt = 1/3 + 1/0.8 + 1/2

Simplifying the equation:

1/Rt ≈ 1.6667

Rt ≈ 0.6 Ω

Next, calculate the total voltage, Vt, by summing the individual voltage sources:

Vt = ε1 + ε2 + ε3

Substituting the given values:

Vt = 9 + 6 + 4

Vt = 19 V

Now calculate the current flowing through resistor R4 using Ohm's Law:

I = Vt / Rt

Substituting the calculated values:

I = 19 / 0.6

I ≈ 31.6667 A

Finally, calculate the power dissipated in resistor R4:

P = I² × R4

Substituting the calculated values:

P = (31.6667)² × 10

P ≈ 10,028 W

Therefore, the magnitude of the power dissipated in resistor R4 is approximately 10,028 watts.

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The dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

Start by converting the rotational speed from rpm (revolutions per minute) to rad/s (radians per second). Since 1 revolution is equal to 2π radians, we can use the conversion factor:

Angular speed (ω) = (1100 rpm) × (2π rad/1 min) × (1 min/60 s)

ω ≈ 115.28 rad/s

The moment of inertia (I) is given as 2.0 × 10^-7 kg⋅m².

Use the formula for rotational kinetic energy:

Rotational Kinetic Energy (KE_rot) = (1/2) I ω²

Substituting the given values:

KE_rot = (1/2) × (2.0 × 10^-7 kg⋅m²) × (115.28 rad/s)²

Calculate the value inside the parentheses:

KE_rot ≈ (1/2) × (2.0 × 10^-7 kg⋅m²) × (13274.28 rad²/s²)

KE_rot ≈ 1.331 × 10^-3 J

Round the result to the proper number of significant figures, which in this case is three, as indicated by the given moment of inertia.

KE_rot ≈ 4.8 × 10^-4 J

Therefore, the dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

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Answer: NO, there are many examples of non-conservative forces.

Explanation: Conservatives forces are special forces whose work is zero in a closed path.

When the rock is thrown upwards with a velocity of 19m/s then velocity after 1s is 15.28m/s, the time the rock hit the surface is 10.21s and the velocity with which it hits is 18.98m/s

Given the velocity of rock is (v) = 19m/s

The height of rock above the ground = h = 19t − 1.86t^2.

The time taken to reach that height is = t

(a) We know that the change in velocity is seen as: v(t) = d(H)/dt

V(t) = d(19t − 1.86t^2)/dt = 19 - 2 x t x 1.86 = 19

At t = 1s then, V(1) = 19 - 2 x 1 x 1.86 = 15.28m/s

(b) When t = a then,

V(a) = 19 - 3.72a

(c) The rock hits the surface when the height = 0m such that;

H(t) = 0

19t - 1.86t^2 = 0

t(19 - 1.86t) = 0

t = 19/1.86 = 10.21s

(d) The  rock hit the surface with the velocity obtained at height = 0m. Then, V(10.21) = 19 - 3.72(10.21) = 19 - 37.98 = -18.98m/s

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complete question: if a rock is thrown upward on the planet mars with a velocity of 10 m/s, its height (in meters) after t seconds is given by H = 19t − 1.86t^2.

(a) find the velocity of the rock after one second

(b) find the velocity of the rock when t=a

(c) when will the rock hit the surface

(d) with what velocity will the rock hit the surface?

la respuesta correcta es la "E"

Answer:

Density depends on the temperature and the gap between particles of the liquid. In most of cases temperature is inversely proportional to density means if the temperature increases then the density decreases and the space between particles of that liquid is also inversely proportional to the density means if the intraparticle space increases then the density decreases.

Explanation:

F = ma

\(a = \frac{f}{m} \)

\(a = \frac{1500}{500} = 3\)

\(a = \frac{v2 - v1}{t} \)

\(3 = \frac{v2 - 10}{10} \)

v2 (final) = 40 m/s to the right direction

An example of a physical change of matter is (c) Melting ice.

Explanation: Melting ice is an example of a physical change of matter. When ice melts, it undergoes a change in state from a solid to a liquid, but its chemical composition remains the same. The water molecules in ice rearrange themselves to form liquid water, but no new substances are formed. This change can be reversed by cooling the liquid water to below its freezing point, causing it to solidify back into ice. Physical changes do not involve a change in the chemical identity of the substance, only a change in its physical properties, such as shape, size, or state.

In contrast, options a) Burning wood, b) Digesting food, and d) Rusting iron involve chemical changes. Burning wood involves a chemical reaction where wood reacts with oxygen to produce carbon dioxide, water vapor, and ash. Digesting food involves the breakdown of complex molecules into simpler ones through chemical reactions in the body. Rusting iron is a chemical reaction where iron reacts with oxygen and moisture in the air to form iron oxide.

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Note: The complete question is:

Which of the following is an example of a physical change of matter?

a) Burning wood

b) Digesting food

c) Melting ice

d) Rusting iron

Answer:

Speed is 0.08 m/s.

Explanation:

Given the distance that the bird flies = 3.7 meters

The time is taken by the bird to fly the 3.7 meters = 46 seconds  

We have given distance and time. Now we have to find the speed at which the bird flies. So, to calculate the speed of the bird we have to divide the distance by the time.  

Below is the formula to find the speed.

Speed = Distance / Time

Now insert the given value in the formula.

Speed = 3.7 / 46 = 0.08 m/s

An electric iron is marked 120 volts and 500 Watts. The units consumed by it in using it for 24 hours can be calculated using the formula:Power (in watts) = Voltage (in volts) x Current (in amperes)P = V x I

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Answer:

d

Explanation:

because is a reducing agent, O 2 is an oxidizing agent.

Answer:

\(\boxed {\boxed {\sf 5 \ meters/second}}\)

Explanation:

Speed is equal to distance over time.

\(s=\frac{d}{t}\)

The distance is 100 meters and the time is 20 seconds.

\(d= 100 \ m \\t= 20 \ s\)

Substitute the values into the formula.

\(s=\frac{100 \ m }{20 \ s}\)

Divide.

\(s= 5 \ m/s\)

Aman's speed is 5 meters per second.

Answer:

left

Explanation:

N pole should be in the same direction of the field, so N will point left.

The compass in a uniform magnetic field  always points to the north pole of the magnet. Here, the north pole is at the left and thus, compass needle points to the left.

Magnetic field is produced by the field lines from a strong magnet. The magnetic  field lines are created from  moving electric field. A magnet have two poles namely a south pole and north pole.

Like two the electric charges, where two like charges repel each other and unlike charges attracts, two like poles of a magnet repels and unlike poles attracts each other.

Therefore, at the two poles the magnetic field lines towards the opposite poles will be more stronger . The north pole of a magnet is always pointing to the geographic north and the south pole is attracted towards the north pole. Therefore, compass needle will points towards the geographic north that is left direction here.

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When a ray of light strikes a plane mirror, the angle of reflection is equal to the angle of incidence.

In this case, the ray of light makes an angle of 35 degrees with the plane mirror. Therefore, the angle of reflection will also be 35 degrees. To understand why this happens, we need to consider the properties of reflection. When light interacts with a smooth surface like a mirror, it follows the law of reflection.

According to this law, the incident ray, the reflected ray, and the normal (a line perpendicular to the mirror's surface) all lie in the same plane. The angle of incidence is the angle between the incident ray and the normal, measured on the side of the normal where the light is coming from. In this case, the angle of incidence is 35 degrees.

According to the law of reflection, the angle of reflection is the angle between the reflected ray and the normal, also measured on the side of the normal where the light is coming from. Since the incident and reflected rays are on opposite sides of the normal, the angle of reflection is also 35 degrees.

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The bike is travelling at 22.5 m/s after 2.5 s

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

a = (v – u) / t

a = (15 – 0) / 5

a = 3 m/s²

a = (v – u) / t

3 = (v – 15) / 2.5

Cross multiply

v – 15 = 3 × 2.5

v – 15 = 7.5

Collect like terms

v = 7.5 + 15

v = 22.5 m/s

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Explanation:

K.E =1/2 mv^2

=1/2(156789)(45.6)^2

=78,394.5 × 2,079.36

=163,010,387.52 kg m/s

This should be your answer.

Answer:   the acceleration of the masses is given by = 0, which means the angular acceleration of the pulley is zero. This implies that the masses m and 2m move with constant velocity,  they are in equilibrium.

Answer: while electric fields aren’t visible or tangible, they are mensurable.

Explanation: you might want to attach the experiment notes to your question***

Answer: 13 miles.

Explanation:

The shape of a line graph displaying temperature change over time before boiling is typically linear and increasing.

In a line graph showing the temperature change over time of a liquid before it starts to boil, the shape is generally linear and increasing.

This is because as heat is applied to the liquid, its temperature increases at a consistent rate.

During this phase, the heat energy is used to increase the kinetic energy of the molecules in the liquid, causing a rise in temperature.

Once the boiling point is reached, the graph may show a plateau, as the energy is then used to change the liquid's state rather than further increase the temperature.

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The distance the block-bullet compress the spring is 0.36 m.

The final velocity of the bullet- block system is calculated as follows;

\(m_1 u_1 + m_2 u_2 = v(m_1 + m_2)\\\\0.034(120) + 1.24(0) = v(0.034+ 1.24)\\\\4.08 = 1.274v\\\\v = \frac{4.08}{1.274} \\\\v = 3.2 \ m/s\)

The compression of the spring is calculated by applying principle of conservation of energy;

\(\frac{1}{2} kx^2 = \frac{1}{2} mv^2\\\\kx^2 = mv^2\\\\x^2 = \frac{mv^2}{k} \\\\x = \sqrt{\frac{mv^2}{k} } \\\\x = \sqrt{\frac{(1.274 \times 3.2^2)}{99} }\\\\x = 0.36 \ m\)

Thus, the distance the block-bullet compress the spring is 0.36 m.

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